Energy conduction in lattice systems
Anupam Kundu, ESPCI
The famous phenomenological law in the context of energy conduction is the Fourier’s law, which relates current density with local temperature gradient. Many computer simulation and analytical studies, starting from microscopic description, show that Fourier’s law is not satisfied in low dimensional systems. We will discuss the validity of this law in higher dimensional lattice system. We will also discuss about large deviation of the energy current in a mass-disordered harmonic chain. In the end we present a more general linear response theory in this context to obtain a Green-Kubo type formula for open system.